Write an exponential decay function in the form f(x)=abx for each of Car A and Car B. Explain how you determined the value of b
for each function.
1 answer:
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The probability that a part picked from this batch at random is either red or L-shaped is 0.68
Step-by-step explanation:
Let us revise some rules of probability
The addition rules are:
- P(A or B) = P(A) + P(B) ⇒ mutually exclusive (events cannot happen at the same time)
- P(A or B) = P(A) + P(B) - P(A and B) ⇒ non-mutually exclusive (if they have at least one outcome in common)
∵ A batch has 100 parts
∵ 40 are red
- Probability of an event is the [even occurs/total outcomes]
∴ P(red) =
∵ 50 are L-shaped
∴ P(L-shaped) =
∵ 22 are both red and L-shaped
∴ P(red and L-shaped) =
This is non-mutually exclusive because there is a common between them, so we will use the 2nd rule
∵ P(red or L-shaped) = P(red) + P(L-shaped) - P(red and L-shaped)
∴ P(red or L-shaped) = 0.4 + 0.5 - 0.22
∴ P(red or L-shaped) = 0.68
The probability that a part picked from this batch at random is either red or L-shaped is 0.68
Learn more:
You can learn more about the probability in brainly.com/question/2254182
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7x + 2y = 2
2x - y = 10
2y = - 7x + 2
- y = - 2x + 10
2y = -7x + 2
y = 2x - 10
y= 2x - 10
y = -3.5x + 1
y = 2x - 10
Now, let's find "x" first by doing a substituion !
2x - 10 = - 3.5x + 1
y = 2x - 10
2x + 3.5x = 1 + 10
y = 2x - 10
5.5x = 11
y= 2x - 10
y= 2*2 - 10 = 4 - 10 = -6
In short, the answer would be : y = -6 (Option B).
Hope this helps !
Photon
2x - y = 10
2y = - 7x + 2
- y = - 2x + 10
2y = -7x + 2
y = 2x - 10
y= 2x - 10
y = -3.5x + 1
y = 2x - 10
Now, let's find "x" first by doing a substituion !
2x - 10 = - 3.5x + 1
y = 2x - 10
2x + 3.5x = 1 + 10
y = 2x - 10
5.5x = 11
y= 2x - 10
y= 2*2 - 10 = 4 - 10 = -6
In short, the answer would be : y = -6 (Option B).
Hope this helps !
Photon